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Convex analysis and nonlinear optimization : theory and examples

Author: Jonathan M Borwein; Adrian S Lewis
Publisher: New York : Springer, ©2006.
Series: CMS books in mathematics, 3.
Edition/Format:   eBook : Document : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem,  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Borwein, Jonathan M.
Convex analysis and nonlinear optimization.
New York : Springer, c2006
(DLC) 2005934031
(OCoLC)63166869
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jonathan M Borwein; Adrian S Lewis
ISBN: 9780387312569 0387312560
OCLC Number: 655778573
Description: 1 online resource (xii, 310 p.)
Contents: Background --
Inequality constraints --
Fenchel duality --
Convex analysis --
Special cases --
Nonsmooth optimization --
The Karush-Kuhn-Tucker Theorem --
Fixed points --
Postscript: infinite versus finite dimensions --
List of results and notation
Series Title: CMS books in mathematics, 3.
Responsibility: Jonathan M. Borwein, Adrian S. Lewis.
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Abstract:

Optimization is a mathematical discipline. This book provides an account of convex analysis and its applications and extensions. It features various sections that conclude with a set of optional  Read more...

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From the reviews: MATHEMATICAL REVIEWS "The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization Read more...

 
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    schema:description "A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. Jonathan M. Borwein, FRSC is Canada Research Chair in Collaborative Technology at Dalhousie University. A Fellow of the AAAS and a foreign member of the Bulgarian Academy of Science, he received his Doctorate from Oxford in 1974 as a Rhodes Scholar and has worked at Waterloo, Carnegie Mellon and Simon Fraser Universities. Recognition for his extensive publications in optimization, analysis and computational mathematics includes the 1993 Chauvenet prize. Adrian S. Lewis is a Professor in the School of Operations Research and Industrial Engineering at Cornell. Following his 1987 Doctorate from Cambridge, he has worked at Waterloo and Simon Fraser Universities. He received the 1995 Aisenstadt Prize, from the University of Montreal, and the 2003 Lagrange Prize for Continuous Optimization, from SIAM and the Mathematical Programming Society. About the First Edition: "...a very rewarding book, and I highly recommend it... " - M.J. Todd, in the International Journal of Robust and Nonlinear Control "...a beautifully written book... highly recommended..." - L. Qi, in the Australian Mathematical Society Gazette "This book represents a tour de force for introducing so many topics of present interest in such a small space and with such clarity and elegance." - J.-P. Penot, in Canadian Mathematical Society Notes "There is a fascinating interweaving of theory and applications..." - J.R. Giles, in Mathematical Reviews "...an ideal introductory teaching text..." - S. Cobzas, in Studia Universitatis Babes-Bolyai Mathematica"@en ;
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